What is the 8869th prime number?
The 8869th prime number is 91801. The next prime is 91807 (a gap of 6) and the one before is 91781.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8869th one is 91801.
- 2
91801 is prime because no prime up to ā91801 ā 302.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8869th prime is close to 8869 Ć ln(8869) ā 80622, and here it is 91801.
- 4
91801 has no twin: neither 91799 nor 91803 is prime.
Primes around the 8869th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8866 | 91757 | 4 |
| 8867 | 91771 | 14 |
| 8868 | 91781 | 10 |
| 8869 | 91801 | 20 |
| 8870 | 91807 | 6 |
| 8871 | 91811 | 4 |
| 8872 | 91813 | 2 |
Questions
What is the 8869th prime number?
91801.
Which prime number is 91801?
91801 is the 8869th prime number.
What is the sum of the first 8869 primes?
385,101,898.